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10 December, 04:43

All possible random samples of 200 middle managers are selected from a population for a study concerning their mean annual income. The population standard deviation is computed to be $2,248.5. What is the standard deviation of the sampling distribution of the means?

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  1. 10 December, 05:10
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    158.993

    Step-by-step explanation:

    We have to find the standard deviation of the sampling distribution of the means.

    We are given that population standard deviation=σ=2248.5 and sample size=n=200.

    Standard deviation of sampling distribution of means=σxbar=σ/√n

    σxbar=2248.5/√200

    σxbar=2248.5/14.1421

    σxbar=158.993

    Thus, the standard deviation of the sampling distribution of the means is $158.993.
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